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Simplifying -71 = -7x + -4(-5x + -5) Reorder the terms: -71 = -7x + -4(-5 + -5x) -71 = -7x + (-5 * -4 + -5x * -4) -71 = -7x + (20 + 20x) Reorder the terms: -71 = 20 + -7x + 20x Combine like terms: -7x + 20x = 13x -71 = 20 + 13x Solving -71 = 20 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -71 + -13x = 20 + 13x + -13x Combine like terms: 13x + -13x = 0 -71 + -13x = 20 + 0 -71 + -13x = 20 Add '71' to each side of the equation. -71 + 71 + -13x = 20 + 71 Combine like terms: -71 + 71 = 0 0 + -13x = 20 + 71 -13x = 20 + 71 Combine like terms: 20 + 71 = 91 -13x = 91 Divide each side by '-13'. x = -7 Simplifying x = -7
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